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- W1889514422 abstract "For a symmetric $alpha$-stable process $X$ on $mathbf{R}^{n}$ with $0 lt alpha lt 2$, $n geq 2$ and a domain $D subset mathbf{R}^{n}$, let $L^{D}$ be the infinitesimal generator of the subprocess of $X$ killed upon leaving $D$. For a Kato class function $q$, it is shown that $L^{d}+q$ is intrinsic ultracontractive on a Hölder domain $D$ of order 0. Then this is used to establish the conditional gauge theorem for $X$ on bounded Lipschitz domains in $mathbf{R}^{n}$. It is also shown that the conditional lifetimes for symmetric stable process in a Hölder domain of order 0 are uniformly bounded." @default.
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- W1889514422 date "2000-03-01" @default.
- W1889514422 modified "2023-09-23" @default.
- W1889514422 title "Intrinsic ultracontractivity, conditional lifetimes and conditional gauge for symmetric stable processes on rough domains" @default.
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- W1889514422 doi "https://doi.org/10.1215/ijm/1255984957" @default.
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